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Finding the Fourth Proportional to 315.59, 435.47 and 175.71

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Solution

The fourth proportional to 315.59, 435.47 and 175.71 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.59 : 435.47 = 175.71 : x
  2. Step 2: Convert to fraction form
    315.59/435.47 = 175.71/x
  3. Step 3: Cross multiply
    315.59x = 435.47 × 175.71
  4. Step 4: Simplify right side
    315.59x = 76,516.46
  5. Step 5: Solve for x
    x = 76,516.46/315.59
  6. Step 6: Final answer
    x = 242.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.